3012746820768 has 48 divisors (see below), whose sum is σ = 8787178229760. Its totient is φ = 1004248939968.

The previous prime is 3012746820751. The next prime is 3012746820773. The reversal of 3012746820768 is 8670286472103.

3012746820768 is a `hidden beast` number, since 30 + 127 + 468 + 20 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3012746820768³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1743486880 + ... + 1743488607.

It is an arithmetic number, because the mean of its divisors is an integer number (183066213120).

Almost surely, 2^{3012746820768} is an apocalyptic number.

It is an amenable number.

3012746820768 is an abundant number, since it is smaller than the sum of its proper divisors (5774431408992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3012746820768 is a wasteful number, since it uses less digits than its factorization.

3012746820768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486975506 (or 3486975492 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3012746820768 in words is "three trillion, twelve billion, seven hundred forty-six million, eight hundred twenty thousand, seven hundred sixty-eight".